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22221011982 = 23132411812953
BaseRepresentation
bin10100101100011110…
…011011110000001110
32010100121202100220210
4110230132123300032
5331002034340412
614112545223250
71414441325331
oct245436336016
963317670823
1022221011982
119473200214
124381931b26
132131885200
14110b272618
158a0c3883c
hex52c79bc0e

22221011982 has 96 divisors (see below), whose sum is σ = 49586505696. Its totient is φ = 6631372800.

The previous prime is 22221011957. The next prime is 22221011987. The reversal of 22221011982 is 28911012222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22221011987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7523418 + ... + 7526370.

It is an arithmetic number, because the mean of its divisors is an integer number (516526101).

Almost surely, 222221011982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22221011982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24793252848).

22221011982 is an abundant number, since it is smaller than the sum of its proper divisors (27365493714).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22221011982 is a wasteful number, since it uses less digits than its factorization.

22221011982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3206 (or 3193 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 22221011982 in words is "twenty-two billion, two hundred twenty-one million, eleven thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 13 26 39 41 78 82 123 169 181 246 338 362 507 533 543 1014 1066 1086 1599 2353 2953 3198 4706 5906 6929 7059 7421 8859 13858 14118 14842 17718 20787 22263 30589 38389 41574 44526 61178 76778 91767 96473 115167 121073 183534 192946 230334 242146 289419 363219 499057 534493 578838 726438 998114 1068986 1254149 1497171 1573949 1603479 2508298 2994342 3147898 3206958 3762447 4721847 6948409 7524894 9443694 13896818 20461337 20845227 21914213 40922674 41690454 43828426 61384011 65742639 90329317 122768022 131485278 180658634 270987951 284884769 541975902 569769538 854654307 1709308614 3703501997 7407003994 11110505991 22221011982